Rogue wave triggered at a critical frequency of a nonlinear resonant medium

Abstract

We consider a two-level atomic system, interacting with an electromagnetic field controlled in amplitude and frequency by a high intensity laser. We show that the amplitude of the induced electric field, admits an envelope profile corresponding to a breather soliton. We demonstrate that this soliton can propagate with any frequency shift with respect to that of the control laser, except a critical frequency, at which the system undergoes a structural discontinuity that transforms the breather in a rogue wave. A mechanism of generation of rogue waves by means of an intense laser field is thus revealed.

14 pages, 4 figures

References in corpus (5)

• Instabilities, breathers and rogue waves in optics
• Optical Rogue Waves in integrable turbulence
• Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation
• Rogue waves of the Hirota and the Maxwell-Bloch equations
• Theoretical and experimental evidence of non-symmetric doubly localized rogue waves

Cited by in corpus (2)

• Periodic and rational solutions of the reduced Maxwell-Bloch equations
• The three-level coupled Maxwell-Bloch equations: rogue waves, semirational rogue waves and W-shaped solitons